Simplify 46√30√
by rationalizing the denominator. Show your work.
To simplify 46√30√, we multiply the two square roots together:
46√30√ = 46√(30 * √1) = 46√(30)
Now, we can simplify the square root by finding the prime factors of 30:
30 = 2 * 3 * 5
Therefore, 46√30√ = 46√(2 * 3 * 5) = 46√(2 * 3)√5 = 46(√6)√5 = 46√30
Therefore, 46√30√ simplifies to 46√30.